Generating a skewed distribution curve with a known mean and maximum and minimum x values

[Michael Jeffries]

Can anyone tell me how to create a distribution graph with just three known values:

Mean = 30.27
Minimum = 0
Maximum = 69.16

Because the horizontal axis has minimum and maximum values, I know that it cannot be a normal distribution. And because the mean value is less than half the maximum, I know that it must be skewed towards the lower end. But how can I generate such a curve using just these three known values.

My knowledge of statistics is fairly minimal, so all answers will need to be in fairly simple terms.

Thank you

[Mallycat]

I think the short answer is you can't. I would think you at least need to know the standard deviation to have half a chance. It is a bit like asking someone to reproduce a face but you only have eyeballs as a reference. You can't reproduce detail that you don't have.